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Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
Open accessAbstract
We show that for a d-dimensional model in which a quench with a rate tau(-1) takes the system across a (d-m)-dimensional critical surface, the defect density scales as n approximately 1/tau(mnu/(znu+1)), where nu and z are the correlation length and dynamical critical exponents characterizing the critical surface. We explicitly demonstrate that the Kitaev model provides an example of such a scaling with d = 2 and m = nu = z = 1. We also provide the first example of an exact calculation of some multispin correlation functions for a two-dimensional model that can be used to determine the correlation between the defects. We suggest possible experiments to test our theory.
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Cites
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Cited by
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Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
Self-citationDynamics of a quantum phase transition and relaxation to a steady state
Dziarmaga, J. (2010) · Advances in Physics · doi:10.1080/00018732.2010.514702 · Cited by 717
Colloquium : Quantum annealing and analog quantum computation
Das, A., & Chakrabarti, B. K. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1061 · Cited by 700
Torrontegui, E., Ibáñez, S., Martínez-Garaot, S., Modugno, M., del Campo, A., Guéry-Odelin, D., Ruschhaupt, A., Chen, X., & Muga, J. G. (2013) · Advances In Atomic, Molecular, and Optical Physics · doi:10.1016/b978-0-12-408090-4.00002-5 · Cited by 648
Universality of phase transition dynamics: Topological defects from symmetry breaking
del Campo, A., & Zurek, W. H. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x1430018x · Cited by 364
Metadata
- Authors
- Sengupta, K., Sen, D., & Mondal, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-21
- Volume
- 100
- Issue
- 7
- Pages
- 077204-077204
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2001283749
- Cited by
- 190
- References
- 1
- FWCI
- 13.54
- Type
- journal article
- Language
- en
- Open access
- green
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- Sengupta, K., Sen, D., & Mondal, S. (2008). Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.077204
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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